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Finding the Fourth Proportional to 8,129.28, 11,218.88 and 4,774.72

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Solution

The fourth proportional to 8,129.28, 11,218.88 and 4,774.72 is: 6,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.28 : 11,218.88 = 4,774.72 : x
  2. Step 2: Convert to fraction form
    8,129.28/11,218.88 = 4,774.72/x
  3. Step 3: Cross multiply
    8,129.28x = 11,218.88 × 4,774.72
  4. Step 4: Simplify right side
    8,129.28x = 53,567,010.71
  5. Step 5: Solve for x
    x = 53,567,010.71/8,129.28
  6. Step 6: Final answer
    x = 6,589.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.